A predator-prey system with two preys and one predator is considered. Especially, two different types of functional responses, Holling type and Beddington-DeAngelis type, are adopted. First, the boundedness of system is showed. Stabilities analysis of system is investigated via some properties about equilibrium points and stabilities of two subsystems without one of the preys of system. Also, persistence conditions of system are found out and some numerical examples are illustrated to substantiate our theoretical results.
"Dynamics of a Predator-Prey System with Mixed Functional Responses." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/536019